$\text { Write the negation of the conditional. Use the fact that the negation of } p \rightarrow q \text { is } p \wedge \sim q \text {. }$
-If she doesn't study, she won't pass her math test.
A)She doesn't study and will pass her math test.
B)If she doesn't study, she will pass her math test.
C)She studies and will pass her math test.
D)She doesn't study and she won't pass her math test.

Question

Quizplus · Accepted Answer

The original statement is a conditional of the form "If she doesn't study (p), then she won't pass her math test (q)." The negation of this conditional, according to the formula $p \wedge \sim q$, is "She doesn't study (p) and she will pass her math test ($\sim q$)." This matches choice A.